Critical scaling in the large-N O(N) model in higher dimensions and its possible connection to quantum gravity

P. Mati
Phys. Rev. D 94, 065025 – Published 20 September 2016

Abstract

The critical scaling of the large-N O(N) model in higher dimensions using the exact renormalization group equations has been studied, motivated by the recently found nontrivial fixed point in 4<d<6 dimensions with metastable critical potential. Particular attention is paid to the case of d=5 where the scaling exponent ν has the value 1/3, which coincides with the scaling exponent of quantum gravity in one fewer dimensions. Convincing results show that this relation could be generalized to arbitrary number of dimensions above five. Some aspects of AdS/CFT correspondence are also discussed.

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  • Received 1 February 2016

DOI:https://doi.org/10.1103/PhysRevD.94.065025

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsParticles & Fields

Authors & Affiliations

P. Mati*

  • ELI-ALPS, ELI-Hu NKft, Dugonics tér 13, Szeged 6720, Hungary and MTA-DE Particle Physics Research Group, P.O.Box 51, H-4001 Debrecen, Hungary

  • *Peter.Mati@eli-alps.hu, matipeti@gmail.com

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Issue

Vol. 94, Iss. 6 — 15 September 2016

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